Carey Caginalp

Opinion: Valuation, liquidity price, and stability of cryptocurrencies

Cryptocurrencies are examined through the asset flow equations and experimental asset markets. Since tangible value of a typical cryptocurrency is non-existent, the theory suggests that price will gravitate toward liquidity value, i.e., the total amount of cash available for purchase of the asset divided by the number of units. Thus it is unlikely that cryptocurrencies in their current form will be stable in the absence of a mechanism of a link to value.

The Quotient of Normal Random Variables And Application to Asset Price Fat Tails

The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density

A minimization approach to conservation laws with random initialconditions and non-smooth, non-strictly convex flux

fleft( xright) simeq f_{0}x^{-2}

Hierarchies of N-point functions for nonlinear conservation laws with random initial data

, with the coefficient depending on the means and variances of the numerator and denominator and their correlation. We also obtain the conditional probability densities for each of the four quadrants given by the signs of the numerator and denominator for arbitrary correlation

Analytical and Numerical Results for an Escape Problem

rho inlbrack-1,1).

Effects of white noise in multistable dynamics

For

Analytical and numerical results for first escape time in 2D

rho=-1

Asset Price Volatility and Price Extrema

we obtain a particularly simple closed form solution for all

A Dynamical Systems Approach to Cryptocurrency Stability

xin